How to Write an Arithmetic Sequence Formula From 2 Terms | Step-by-Step

In this video, you'll learn how to write an explicit formula for an arithmetic sequence when you're only given two terms! We'll go through three examples, demonstrating how to use the explicit formula a_n = a_1 + (n-1)d and a system of equations to find the first term (a_1) and the common difference (d). Here's what we'll cover: 00:00 Introduction to Writing Arithmetic Sequence Formulas from Two Terms 0:40 Understanding the Explicit Formula for Arithmetic Sequences 1:15 Method: Using a System of Equations to Solve for a_1 and d 2:45 Example 1: Given the 3rd term is 9 and the 6th term is 21 6:00 Example 2: Given the 2nd term is 7 and the 5th term is -2 9:50 Example 3: Given the 3rd term is 1/3 and the 6th term is 7/3 By the end of this video, you'll be able to confidently write the formula for any arithmetic sequence given two of its terms! #ArithmeticSequence #ExplicitFormula #Algebra #MathTutorial #SequencesAndSeries #CommonDifference ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join